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Finding the Third Proportional to 27,843 and 56,658

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Solution

The third proportional to 27,843 and 56,658 is: 115,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843 : 56,658 = 56,658 : x
  2. Step 2: Convert to fraction form
    27,843/56,658 = 56,658/x
  3. Step 3: Cross multiply
    27,843x = 56,658 × 56,658
  4. Step 4: Simplify right side
    27,843x = 3,210,128,964
  5. Step 5: Solve for x
    x = 3,210,128,964/27,843
  6. Step 6: Final answer
    x = 115,293.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.